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Finding the Third Proportional to 79,746 and 167,754

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Solution

The third proportional to 79,746 and 167,754 is: 352,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,746 : 167,754 = 167,754 : x
  2. Step 2: Convert to fraction form
    79,746/167,754 = 167,754/x
  3. Step 3: Cross multiply
    79,746x = 167,754 × 167,754
  4. Step 4: Simplify right side
    79,746x = 28,141,404,516
  5. Step 5: Solve for x
    x = 28,141,404,516/79,746
  6. Step 6: Final answer
    x = 352,887.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.